Answer:
(5, 0)
Step-by-step explanation:
Se the equations equal
x² - 2x - 15 = 8x - 40
Subtract 8x from both sides
x² - 10x - 15 = -40
add 40 to both sides
x² - 10x + 25 = 0
Factor
(x - 5)(x - 5) = 0
x = 5
---------------
plug in x = 5 into
y = 8x - 40
y = 8(5)- 40
y = 0
-----------------
Solution
(5, 0)
A trapezoid has 21 inches base and 5.3 inches base, as well as 39 inches height. What is the area?
Answer:
It is 512.85
Step-by-step explanation:
A = [tex]\frac{a+b}{2}[/tex]h = [tex]\frac{21 + 5.3}{2}[/tex].39 = 512.85
It is 512.85
21*5.3*39=512.85
Nicole paint a circle table that has a diameter of 37 in what is the area of the table
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
m (slope) =
b ( y - intercept) =
x - intercept =
Answer:
Step-by-step explanation:
m = - 2
b = 4
x - intercept = 2
How can I find the area of an 18gon with a radius length 1ft
Answer:
Step-by-step explanation:
If we draw radii from the center of this 18-gon to each vertex, we end up with 18 triangles that are all congruent to each other. If we divide 360 by 18 we get the measure of the vertex angle of each of these 18 triangles. 360/18 = 20. So we take one of these triangles and pull it out and use it as a representative triangle from which we use trig to find its height and its base length.
The formula for the area for a regular polygon is
[tex]A=\frac{1}{2}ap[/tex] where a is the apothem (the height of our triangle) and p is the perimeter (found from the base of our triangle).
If we split this triangle we extracted right down the center vertically, we get 2 right triangles. Pull one of those out and this is the triangle we work with. The vertex angle is split in half and it now measures 10. The one base angle is the right angle and, by the Triangle Angle-Sum Theorem, the other base angle is 80. To find the height (or the apothem) of this right triangle that has a hypotenuse of 1 (the radius of the polygon is the hypotenuse of the right triangle), we use the sin or cos ratio. I used cos:
[tex]cos10=\frac{a}{1}[/tex] so
a = .9848
To find the base of this right triangle, I used the sin ratio:
[tex]sin10=\frac{p}{1}[/tex] so
p = .1736. But this is only half the length of one of the sides of the polygon, so multiply it by 2 to get the length of the whole side.
.1736 * 2 = .3473
Now, in order to find the perimeter, we multiply that one side by 18 to get
p = 6.2514
Now we're ready to find the area:
[tex]A=\frac{1}{2}(.9848)(6.2514)[/tex] so
A = 3.078 square feet
Please help me will mark the brainliest
Answer:
The answer is A)9.89cm squared
Step-by-step explanation:
Split the shape into a triangle and a square. The square's area is 2.6 × 2.3 which equals 5.98. The triangle's area is 6-2.6=3.4, 3.4×2.3= 7.82. But since its a triangle, divide it by two. 7.82÷2=3.91. Now add both of the found areas to eachother, 3.91+5.98=9.98 cm squared. Hope that makes sense and helps!
I need help with another too! :( I will mark brainliest! You will get 30 pionts
the picture is right there too! The question is also in the picture too!
I hope you could see it clrealy!
Answer:
130°
Step-by-step explanation:
Angle 3 and 7 are the same so angle 7 is 50°
180° is the angle of a straight line so we take 50 away from 180 giving us 130°.
Hope this helps! :)
Alice and Bob play a game that begins with flipping a fair coin twice. If the coin lands heads up on both flips, Bob wins. If the coin lands heads up on only one flip, Alice wins. If the coin lands tails up on both flips, they flip two more times, and this process continues until there is a winner. What is the probability that Bob wins the game?
Answer:
0.25 (or [tex]\frac{1}{4}[/tex])
Step-by-step explanation:
As the coin is fair, there is an equal chance the coin lands on heads or tails, therefore:
Probability of heads = 0.5 (or [tex]\frac{1}{2}[/tex])
Probability of tails = 0.5 (or [tex]\frac{1}{2}[/tex])
For Bob to win, the coin must land on heads twice, To work this out, we multiply the two events together.
Probability of 2 heads = 0.5 (probability of landing heads up) x 0.5 (probability of landing heads up) = 0.25 (or [tex]\frac{1}{4}[/tex])
The distance between points A and B is?
Answer:
√85
Step-by-step explanation:
A (-3 , 4) B (4 , -2)
AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85
AB = √85
Please help will give reward!
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - a, b, c, d - and
only one correct answer. What is the probability that she answered neither of the problems correctly?
Write your answer as a fraction in simplest forme
Answer:
3/4
Step-by-step explanation:
2 problems consist 8 choices of answers.
the events for the correct answer are 2
and the events for incorrect answer are 6
so, the probability that she answered neither of the problems correctly = 6/8 = 3/4
If f(x) = 4x + 5,, determine f(-2).
a. -7/4
b. 13
c. -3
d. 7
Answer:
C
Step-by-step explanation:
f(-2) = 4(-2) + 5
f(-2) = -8 + 5
f(-2) = -3
Answer:
-3
Step-by-step explanation:
f(x) = 4x + 5
Let x = -2
f(-2) = 4(-2) + 5
=-8+5
-3
Help needed to solve this
Given:
The expression is:
[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]
To find:
The simplified form of the given expression
Solution:
Formula used:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
We have,
[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]
It can be written as:
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4)^2-(a^4)^2}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4-a^4)(b^4+a^4)}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b^2-a^2)(b^2+a^2)}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
Taking LCM, we get
[tex]=\dfrac{1(b-a)(b^2+a^2)+2a(b-a)(b+a)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2a(b^2-a^2)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2ab^2-2a^3+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b+ab^2+a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
Using the grouping method factories the numerator.
[tex]=\dfrac{b(b^2+a^2)+a(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{(b+a)(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]
Cancel out the common factors.
[tex]=\dfrac{1}{b-a}[/tex]
Therefore, the value of the given expression is [tex]\dfrac{1}{b-a}[/tex].
There are x students trying out for a solo in a chorus concert. Only 6 will be chosen. How many students will not be chosen? Please write down the Algebra expression and answer please and thank you.
We need to solve this question using Algebraic expressions. The answer for the given question is x-6.
How do you solve Algebraic Expressions?A mathematical expression with variables and/or numbers is called an algebraic expression. It can be simplified even if it cannot be solved since it lacks an equals sign (=). Algebraic equations, which have algebraic expressions divided by an equals sign, can be solved. Recognize the distinction between an algebraic equation and an algebraic expression. A mathematical expression called an algebraic expression can have variables or integers in it. be able to combine similar phrases. Adding up (or removing) the terms with the same degree is all that is required to combine related terms. All x2 terms can be mixed with other x2 terms, and all x3 terms can be coupled with x3 terms, according to this.
Calculationx students are trying in a chorus concert.
Only 6 students will be chosen.
so the answer for the given question=x-6
We need to solve this question using Algebraic expressions. The answer for the given question is x-6.
To refer more about Algebraic expressions, visit:
https://brainly.com/question/4344214
#SPJ1
Can someone help with this problem! Please don't scam
Answer:
KQ = 11.5 units
Step-by-step explanation:
In triangle ABC,
K is the point of intersection of medians AP and BQ.
Therefore, point K will be the centroid of the triangle.
Property of the centroid of a triangle,
" Centroid of a triangle divides the median in the ratio of 2 : 1"
Ratio of BK and KQ = 2 : 1
[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]
[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]
[tex]KQ = \frac{23}{2}[/tex]
KQ = 11.5
Therefore, length of segment KQ = 11.5 units
3x=1/81 what is the value of x?
Answer:
hello
3x = 1/81
x = 1/ 81*3
x = 1/243
Step-by-step explanation:
Answer:
x=(1/81)/3
x=1/243
Step-by-step explanation:
In a survey of 2,700 people who owned a certain type of car, 95 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
To solve this you would do 1350/2700 which is 50%
Hope this answer helps you :)
Have a great day
Mark brainliest
Find the height of a triangle with an area (A) of 35 square inches and
base (b) of 7 inches. Use the formula for the area of a triangle,
A = 1/2 bh
hb=10in
b Base
7
in
A Area
35
in²
Using the formula
A=hbb
2
Solving forhb
hb=2A
b=2·35
7=10in
John finds that there is a scholarship available to all personals scoring in the top 5% on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship
Answer:
He needs a score of 28.7315 to qualify for the scholarship
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean score on the ACT is 21 with a standard deviation of 4.7
This means that [tex]\mu = 21, \sigma = 4.7[/tex]
What score does he need in order to qualify for the scholarship?
The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21}{4.7}[/tex]
[tex]X - 21 = 4.7*1.645[/tex]
[tex]X = 28.7315[/tex]
He needs a score of 28.7315 to qualify for the scholarship
The diagram shows a man standing next to a dinosaur.
Estimate the height of the dinosaur.
Answer:
manz I think u would need like a ruler or something
you borrow $90 from your grandmother. You pay back $15 each week. write an equation in standard form that represents the amount owed y after x weeks.
Answer:
90-15x
Step-by-step explanation:
x being the number of weeks
zeroes of polynomial p(x)=2x^2-9-3x are :
Answer:
x = - [tex]\frac{3}{2}[/tex], x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 3 = 0 ⇒ x = 3
Find the surface area of the triangular prism.
NO FAKE ANSWERS OR LINKS
Answer
177.62
Step-by-step explanation:
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.
Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
---------------------------
Answer:
60 bacteria
Step-by-step explanation:
c on edge 2022
which recursive formula can be used to represent the sequence 2,4,6,8,10.... ?
a
b
c
or d
Step-by-step explanation:
the (A) formula is preferable to use and is the correct one
hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation
Answer:
I hope the above attachment helps you mate
Have a great day
[tex]#Liliflim[/tex]
Answer:
Solution given;
a⁴-23a²b²+b⁴
making in the form of a²+2ab+b²
a⁴+2a²b²+b⁴-2a²b²-23a²b²
(a²+b²)²-(5ab)²
factoring by using formula
x²-y²=(x+y)(x-y)
(a²+5ab+b²)(a²-5ab+b²)
Choose the appropriate value for LR for the following similar triangles given below.
A. 18
B. 20
C. 12
D. 14
Answer this please! No links please
Answer:
the arc length is
[tex]2\pi.14. \frac{45}{360} = \frac{7\pi}{2} [/tex]
=> B
The population of rabbits on an island is growing exponentially. In the year 1998, the population of rabbits was 9400, and by 2006 the population had grown to 32000. Predict the population of rabbits in the year 2011, to the nearest whole number.
Answer: 68,819 rabbits
Step-by-step explanation:
First find the annual rate of growth that took the number of rabbits from 9,400 in 1998 to 32,000 in 2006.
Use the future value formula:
Number of years = 2006 - 1998 = 8 years
Future value formula:
Future value = Current value * ( 1 + rate) ^ number of years
Assume 2006 is the future and 1998 is present.
32,000 = 9,400 * (1 + r) ⁸
32,000 / 9,400 = (1 + r)⁸
(1 + r)⁸ = 3.404255319
1 + r = ⁸√3.404255319
r = ⁸√3.404255319 - 1
r = 16.55%
Use that rate to find the number of rabbits in 2011:
= Current value * (1 + rate) ^ number of years
Number of years = 2011 - 2006 = 5 years
= 32,000 * ( 1 + 16.55%)⁵
= 68,819 rabbits
HELP!! Will give brainliest to anyone that helps
3.
4.
5 cm
4 cm
11 m
6 cm
Volume =
Volume =
Show all work!!
Answer:
3. 120
4. 1331
Step-by-step explanation:
can anybody help me with this one ?
Answer:
D answer
Step-by-step explanation:
x=- 1/ 2 answer is d.
7th grade Girl!
*urgent, pls pls pls help!* :(
(in the screenshot above. pleaseeeee! i’m desperate ahhhh :( )
